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Finding the Fourth Proportional to 31,241.14, 46,862.60 and 12,264.99

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Solution

The fourth proportional to 31,241.14, 46,862.60 and 12,264.99 is: 18,397.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,241.14 : 46,862.60 = 12,264.99 : x
  2. Step 2: Convert to fraction form
    31,241.14/46,862.60 = 12,264.99/x
  3. Step 3: Cross multiply
    31,241.14x = 46,862.60 × 12,264.99
  4. Step 4: Simplify right side
    31,241.14x = 574,769,024.74
  5. Step 5: Solve for x
    x = 574,769,024.74/31,241.14
  6. Step 6: Final answer
    x = 18,397.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.